Question

The weight of an object on the moon varies directly as its weight on earth. A person who weights 150.94lb on earth weighs 25.66lb on the moon. How much would a 218.24lb person weigh on the moon?

Answer 1

109.93 lbs

since the quantities vary directly, then

w(moon) = kw(earth ) ← ( k is the constant of variation )

to find k use the given condition

k = w( moon ) / w( earth ) = $\frac{25.66}{150.94}$

given w(earth) = 218.24

w(moon) = $\frac{25.66(218.24)}{150.94}$ = 109.93